{"id":"https://openalex.org/W2097666642","doi":"https://doi.org/10.1109/acc.2006.1655459","title":"A less conservative circle criterion","display_name":"A less conservative circle criterion","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2097666642","doi":"https://doi.org/10.1109/acc.2006.1655459","mag":"2097666642"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2006.1655459","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1655459","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058663513","display_name":"Donatello Materassi","orcid":"https://orcid.org/0000-0002-4736-8377"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. Materassi","raw_affiliation_strings":["Dipartimento di Sistemie Informatica, Universit\u00e0 di Firenze, Italy","Dipt. di Sistemi e Informatica, Universita di Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemie Informatica, Universit\u00e0 di Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipt. di Sistemi e Informatica, Universita di Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069864205","display_name":"Murti V. Salapaka","orcid":"https://orcid.org/0000-0002-4595-9683"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Salapaka","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Iowa State University, USA","Iowa State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Iowa State University, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056527139","display_name":"Michele Basso","orcid":"https://orcid.org/0000-0002-1526-7715"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Basso","raw_affiliation_strings":["Dipartimento di Sistemie Informatica, Universit\u00e0 di Firenze, Italy","university of Florence"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemie Informatica, Universit\u00e0 di Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"university of Florence","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4925,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.6664799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"4 pp.","last_page":"4 pp."},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.9014052152633667},{"id":"https://openalex.org/keywords/stability-criterion","display_name":"Stability criterion","score":0.673365592956543},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6079034805297852},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.563190758228302},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.5178526043891907},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5155715346336365},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.49849700927734375},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3775642216205597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30639731884002686},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.2830353379249573},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2744731307029724},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23973795771598816},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15379014611244202},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08445140719413757},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08161261677742004}],"concepts":[{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.9014052152633667},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.673365592956543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6079034805297852},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.563190758228302},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.5178526043891907},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5155715346336365},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.49849700927734375},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3775642216205597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30639731884002686},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.2830353379249573},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2744731307029724},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23973795771598816},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15379014611244202},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08445140719413757},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08161261677742004},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acc.2006.1655459","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1655459","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.311.3600","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.311.3600","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0806.4199v1.pdf","raw_type":"text"},{"id":"pmh:oai:flore.unifi.it:2158/259895","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/259895","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W658292533","https://openalex.org/W1876456565","https://openalex.org/W1964373008","https://openalex.org/W1987534777","https://openalex.org/W2027674062","https://openalex.org/W2130733321","https://openalex.org/W2407672478","https://openalex.org/W2574175061"],"related_works":["https://openalex.org/W2130216035","https://openalex.org/W1976068816","https://openalex.org/W2043892938","https://openalex.org/W2040080498","https://openalex.org/W166939899","https://openalex.org/W2329833644","https://openalex.org/W1970104640","https://openalex.org/W2743355309","https://openalex.org/W1988496596","https://openalex.org/W2037433734"],"abstract_inverted_index":{"A":[0],"weak":[1],"form":[2],"of":[3,18,33],"the":[4,31,37],"circle":[5,39],"criterion":[6,40],"for":[7,35],"Lur'e":[8],"systems":[9],"is":[10],"stated.":[11],"The":[12],"result":[13,25],"allows":[14],"prove":[15],"global":[16],"boundedness":[17],"all":[19],"system":[20],"solutions.":[21],"Moreover":[22],"such":[23],"a":[24],"can":[26,41],"be":[27],"employed":[28],"to":[29],"enlarge":[30],"set":[32],"nonlinearities":[34],"which":[36],"standard":[38],"guarantee":[42],"absolute":[43],"stability":[44]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}